The Number Theory Principal on Quantum Gravity
ORAL
Abstract
This paper provides the Number Theory Principle on the Generalized Newton's Laws (GNL) , see Zhi-An Luan, CAP-Congrtess 2019 4 June Burnaby ( 32448) : Genetalized Newton's Laws.
Lemma-1. Number Theory is a complex torus project of Quantum Physics, almost all open problems in Number Theory can be explicitly closed such that the Fermat's Last Theorem and Goldbach conjecture.
Lemma-2. The Unitary Space-Time X2/2t is representation of prime Number 1,2 and 3. The Fu-Xi Constant Ψ=1/√3= 0.577350... is connection between Physics and Mathematics, also is the retract kernel of deformation theory of Universe, Particle and Life.
Here I prove that
Theorem-1. Serre's NX(p) is an isomorphism of NV(q) which is of the form:
NV(q) = q2 + q Tr(σq) + 1= 0
Its explicitly exact solution is that
q = -Tr(σq)/2 ± i √(1- Tr(σq2)/4), i=√-1.
This solution represents all deformation retraction evolutions of Universe, Particle, meso-scopic Capillary Rise and Life. Here Tr(σq) is just the coherent radial rcoh in my papers, so Tr(σq) = rcoh=√v, v-velocity.
Using Theorem-1. we can obtain important quantum state and results such that
(1). Mass of particles m= √(1 - rcoh2/4) = √(1 - v/4) which is velocity representation of particle velocity. Thus we obtain v = 4(1 - m2) and GMV= 1 =Id, which is the core of the Generalized Newton's Law.
(2). Furthermore, in the Fu-Xi torus, we have characters v = 4cos2(φ) = 4(1-sin2(φ)), m = sin(φ) and MV= 4cos2(φ) sin(φ) = 2cos(φ) sin(2φ).
(3). If m = 0, then v=4(1-0) = 4, which is a local limit light speed : 4 > 3 ... km/s.
(4). If m= 0.5 (average mass density), then v = 4(1-1/4) =4(3/4) = 3 ... km/s, which we can measure in Earth.
(5). If m = √3 /2, then v = 4(1-3/4) =4(1/4)=1, which is 0 deformation state.
(6). I found minimal mass m= 1/√3 = ψ (called as Fu-Xi Mass), then v = 4(1-1/3) = 4(2/3) = 8/3, it induces MV=1/√3 x 8/3 = 8/(3√3) = (2/√3)3= 1.539600..., which produces Minimal Gravity Constant Gmin = 0.6495190... < G=2/3=0.666666....
Number 5 (√5) is more mysterious than 3.
Lemma-1. Number Theory is a complex torus project of Quantum Physics, almost all open problems in Number Theory can be explicitly closed such that the Fermat's Last Theorem and Goldbach conjecture.
Lemma-2. The Unitary Space-Time X2/2t is representation of prime Number 1,2 and 3. The Fu-Xi Constant Ψ=1/√3= 0.577350... is connection between Physics and Mathematics, also is the retract kernel of deformation theory of Universe, Particle and Life.
Here I prove that
Theorem-1. Serre's NX(p) is an isomorphism of NV(q) which is of the form:
NV(q) = q2 + q Tr(σq) + 1= 0
Its explicitly exact solution is that
q = -Tr(σq)/2 ± i √(1- Tr(σq2)/4), i=√-1.
This solution represents all deformation retraction evolutions of Universe, Particle, meso-scopic Capillary Rise and Life. Here Tr(σq) is just the coherent radial rcoh in my papers, so Tr(σq) = rcoh=√v, v-velocity.
Using Theorem-1. we can obtain important quantum state and results such that
(1). Mass of particles m= √(1 - rcoh2/4) = √(1 - v/4) which is velocity representation of particle velocity. Thus we obtain v = 4(1 - m2) and GMV= 1 =Id, which is the core of the Generalized Newton's Law.
(2). Furthermore, in the Fu-Xi torus, we have characters v = 4cos2(φ) = 4(1-sin2(φ)), m = sin(φ) and MV= 4cos2(φ) sin(φ) = 2cos(φ) sin(2φ).
(3). If m = 0, then v=4(1-0) = 4, which is a local limit light speed : 4 > 3 ... km/s.
(4). If m= 0.5 (average mass density), then v = 4(1-1/4) =4(3/4) = 3 ... km/s, which we can measure in Earth.
(5). If m = √3 /2, then v = 4(1-3/4) =4(1/4)=1, which is 0 deformation state.
(6). I found minimal mass m= 1/√3 = ψ (called as Fu-Xi Mass), then v = 4(1-1/3) = 4(2/3) = 8/3, it induces MV=1/√3 x 8/3 = 8/(3√3) = (2/√3)3= 1.539600..., which produces Minimal Gravity Constant Gmin = 0.6495190... < G=2/3=0.666666....
Number 5 (√5) is more mysterious than 3.
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Presenters
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Zhi an Luan
University of British Columbia(Visiting Professor), China Petroleum University HD(Retired Professor), University of British Columbia (Visiting Professor), China Petroleum University HD (Retired Professor)
Authors
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Zhi an Luan
University of British Columbia(Visiting Professor), China Petroleum University HD(Retired Professor), University of British Columbia (Visiting Professor), China Petroleum University HD (Retired Professor)